The figure shows a parallelogram. Find
- ∠d
- ∠c
- ∠b
(a)
∠FIG
= 180° - 31° - 63°
= 86° (Angles sum of triangle)
∠d = ∠FIG = 86° (Vertically opposite angles)
(b)
∠c = ∠FEG = 64° (Alternate angles)
(c)
∠GIF = ∠d = 86° (Vertically opposite angles)
∠b
= 86° - 64°
= 22° (Exterior angle of a triangle)
Answer(s): (a) 86°; (b) 64°; (c) 22°